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Finding the Fourth Proportional to 685.76, 945.43 and 592.31

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Solution

The fourth proportional to 685.76, 945.43 and 592.31 is: 816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.76 : 945.43 = 592.31 : x
  2. Step 2: Convert to fraction form
    685.76/945.43 = 592.31/x
  3. Step 3: Cross multiply
    685.76x = 945.43 × 592.31
  4. Step 4: Simplify right side
    685.76x = 559,984.68
  5. Step 5: Solve for x
    x = 559,984.68/685.76
  6. Step 6: Final answer
    x = 816.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.